3486240 has 120 divisors (see below), whose sum is σ = 12349260. Its totient is φ = 926208.

The previous prime is 3486233. The next prime is 3486257. The reversal of 3486240 is 426843.

3486240 is a `hidden beast` number, since 34 + 8 + 624 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3111696 + 374544 = 1764^2 + 612^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12826 + ... + 13094.

Almost surely, 2^3486240 is an apocalyptic number.

3486240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174630).

3486240 is an abundant number, since it is smaller than the sum of its proper divisors (8863020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3486240 is a wasteful number, since it uses less digits than its factorization.

3486240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 3486240 is about 1867.1475571042. The cubic root of 3486240 is about 151.6302184014.

The spelling of 3486240 in words is "three million, four hundred eighty-six thousand, two hundred forty".